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(d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the robustness of our assumptions about price. 4. An oil spill has fouled 200 miles of Pacific shoreline. The oil company responsible has been given 14 days to clean up the shoreline, after which a fine will be levied in the amount of $10,000/day. The local cleanup crew can scrub five miles of beach per week at a cost of $500/day. Additional crews can be brought in at a cost of $18,000 plus $800/day for each crew. (a) How many additional crews should be brought in to minimize the total cost to the company? Use the five-step method. How much will the clean-up cost? ot si oviloido the (b) Examine the sensitivity to the rate at which a crew can clean up shoreline. Consider both the optimal number of crews and the total cost to the company. (c) Examine the sensitivity to the amount of the fine. Consider the number of days the company will take to clean up the spill and the total cost to the company. (d) The company has filed an appeal on the grounds that the amount of the fine is excessive. Assuming that the only purpose of the fine is to motivate the company to clean up the oil spill in a timely manner, is the fine excessive? opulation (per year)

(d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the robustness of our assumptions about price. 4. An oil spill has fouled 200 miles of Pacific shoreline. The oil company responsible has been given 14 days to clean up the shoreline, after which a fine will be levied in the amount of $10,000/day. The local cleanup crew can scrub five miles of beach per week at a cost of $500/day. Additional crews can be brought in at a cost of $18,000 plus $800/day for each crew. (a) How many additional crews should be brought in to minimize the total cost to the company? Use the five-step method. How much will the clean-up cost? ot si oviloido the (b) Examine the sensitivity to the rate at which a crew can clean up shoreline. Consider both the optimal number of crews and the total cost to the company. (c) Examine the sensitivity to the amount of the fine. Consider the number of days the company will take to clean up the spill and the total cost to the company. (d) The company has filed an appeal on the grounds that the amount of the fine is excessive. Assuming that the only purpose of the fine is to motivate the company to clean up the oil spill in a timely manner, is the fine excessive? opulation (per year)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please, help solve question 4. Hints will work too. Please, please !!!
17 (d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the robustness of our assumptions about price. Be le 4. An oil spill has fouled 200 miles of Pacific shoreline. The oil company responsible has been given 14 days to clean up the shoreline, after which a fine will be levied in the amount of $10,000/day. The local cleanup crew can scrub five miles of beach per week at a cost of $500/day. Additional crews can be brought in at a cost of $18,000 plus $800/day for each crew. a (a) How many additional crews should be brought in to minimize the total cost to the company? Use the five-step method. How much will the clean-up cost? se (b) Examine the sensitivity to the rate at which a crew can clean up the shoreline. Consider both the optimal number of crews and the total cost to the company. (c) Examine the sensitivity to the amount of the fine. Consider the number of days the company will take to clean up the spill and the total cost to the company. (d) The company has filed an appeal on the grounds that the amount of the fine is excessive. Assuming that the only purpose of the fine is to motivate the company to clean up the oil spill in a timely manner, is the fine excessive? re rate of the fin whale population (per year)
Transcribed Image Text:17 (d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the robustness of our assumptions about price. Be le 4. An oil spill has fouled 200 miles of Pacific shoreline. The oil company responsible has been given 14 days to clean up the shoreline, after which a fine will be levied in the amount of $10,000/day. The local cleanup crew can scrub five miles of beach per week at a cost of $500/day. Additional crews can be brought in at a cost of $18,000 plus $800/day for each crew. a (a) How many additional crews should be brought in to minimize the total cost to the company? Use the five-step method. How much will the clean-up cost? se (b) Examine the sensitivity to the rate at which a crew can clean up the shoreline. Consider both the optimal number of crews and the total cost to the company. (c) Examine the sensitivity to the amount of the fine. Consider the number of days the company will take to clean up the spill and the total cost to the company. (d) The company has filed an appeal on the grounds that the amount of the fine is excessive. Assuming that the only purpose of the fine is to motivate the company to clean up the oil spill in a timely manner, is the fine excessive? re rate of the fin whale population (per year)
17 1.4. EXERCISES (d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the robustness of our assumptions about price. 4. An oil spill has fouled 200 miles of Pacific shoreline. The oil company responsible has been given 14 days to clean up the shoreline, after which a fine will be levied in the amount of $10,000/day. The local cleanup crew can scrub five miles of beach per week at a cost of $500/day. Additional crews can be brought in at a cost of $18,000 plus $800/day for each crew. (a) How many additional crews should be brought in to minimize the total cost to the company? Use the five-step method. How much will the clean-up cost? (b) Examine the sensitivity to the rate at which a crew can clean up the shoreline. Consider both the optimal number of crews and the total cost to the company. (c) Examine the sensitivity to the amount of the fine. Consider the number of days the company will take to clean up the spill and the total cost to the company. (d) The company has filed an appeal on the grounds that the amount of the fine is excessive. Assuming that the only purpose of the fine is to motivate the company to clean up the oil spill in a timely manner, is the fine excessive?
Transcribed Image Text:17 1.4. EXERCISES (d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the robustness of our assumptions about price. 4. An oil spill has fouled 200 miles of Pacific shoreline. The oil company responsible has been given 14 days to clean up the shoreline, after which a fine will be levied in the amount of $10,000/day. The local cleanup crew can scrub five miles of beach per week at a cost of $500/day. Additional crews can be brought in at a cost of $18,000 plus $800/day for each crew. (a) How many additional crews should be brought in to minimize the total cost to the company? Use the five-step method. How much will the clean-up cost? (b) Examine the sensitivity to the rate at which a crew can clean up the shoreline. Consider both the optimal number of crews and the total cost to the company. (c) Examine the sensitivity to the amount of the fine. Consider the number of days the company will take to clean up the spill and the total cost to the company. (d) The company has filed an appeal on the grounds that the amount of the fine is excessive. Assuming that the only purpose of the fine is to motivate the company to clean up the oil spill in a timely manner, is the fine excessive?
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